Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[x + \frac{1.0}{3.0}\]
↓
\[\frac{1.0}{3.0} + x\]
x + \frac{1.0}{3.0}
↓
\frac{1.0}{3.0} + x
double f(double x) {
        double r12308928 = x;
        double r12308929 = 1.0;
        double r12308930 = 3.0;
        double r12308931 = r12308929 / r12308930;
        double r12308932 = r12308928 + r12308931;
        return r12308932;
}
↓
double f(double x) {
        double r12308933 = 1.0;
        double r12308934 = 3.0;
        double r12308935 = r12308933 / r12308934;
        double r12308936 = x;
        double r12308937 = r12308935 + r12308936;
        return r12308937;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x + \frac{1.0}{3.0}\]

  2. Final simplification0.0

    \[\leadsto \frac{1.0}{3.0} + x\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))